To solve the equation \( a + b - c = \frac{r}{m} \) for \( b \), follow these steps:

1. Start with the original equation:
   \[
   a + b - c = \frac{r}{m}
   \]

2. To isolate \( b \), first add \( c \) to both sides of the equation:
   \[
   a + b = \frac{r}{m} + c
   \]

3. Next, subtract \( a \) from both sides:
   \[
   b = \frac{r}{m} + c - a
   \]

So, the equation solved for \( b \) is:
\[
b = \frac{r}{m} + c - a
\]

Would you like more details on this, or do you have any other questions?

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Here are 5 related questions to consider:

1. How would the expression for \( b \) change if \( m \) were to equal 1?
2. What is the value of \( b \) if \( r = 0 \)?
3. How does changing \( a \) affect the value of \( b \)?
4. What would the equation look like if you doubled the value of \( c \)?
5. Can you express \( b \) in terms of \( m \) if \( r \) is dependent on \( m \)?

**Tip:** When isolating a variable, ensure you perform the operations step-by-step to maintain the equation's integrity.

Learn how to solve the linear equation a + b - c = r/m to isolate b. This problem involves basic algebraic concepts and is suitable for students in Grades 7-9.

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